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SashulF [63]
3 years ago
9

I just need one more answer to this. Please someone help!

Mathematics
1 answer:
den301095 [7]3 years ago
4 0

Answer:

(1,0)

(-2,3)

(5,24)

Step-by-step explanation:

To solve this you can can just plug in the x and y values and see which work

y = x²-1

Lets test (0,1):

1 = 0²-1

1 = -1

This pair <em>does not</em> work, because 1 does not equal -1

Lets test (1,0):

0 = 1²-1

0 = 0

This <em>does</em> work, because 0 equals 0

Lets test (3,5):

5 = 3²-1

5 = 9 - 1

5 = 8

This pair <em>does not</em> work, because 5 does not equal 8

Lets test (5,24):

24 = 5²-1

24 = 25 -1

24 = 24

This pair <em>does</em> work, because 24 equals 24

Lets test (-2,3):

3 = (-2)²-1

3 = 4-1

3 = 3

This pair <em>does</em> work, because 3 equals 3

Lets test (-4,-17):

-17 = (-4)²-1

-17 = 16 - 1

-17 = 15

This pair <em>does not</em> work, because -17 does not equal 15

So the pairs that are on the graph are:

(1,0)

(-2,3)

(5,24)

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Elizabeth has $10, $5, and $1 bills worth $101. she has five more five dollar bills than ten dollar bills and 4 times more 1 dol
vesna_86 [32]

Let x be number of $10 dollar bills

Let y be number of $5 dollar bills

Let z be number of $1 dollar bills

From the question, we can come up with three equations (so we can find the values of x, y & z) :

  • 10x + 5y + z = 101
  • y - x = 5
  • z = 4x

The first equation comes from finding the total money Elizabeth has, which is $101.

The second equation comes from value of y (number of $5 bills) is more than value of x (number of $10 bills) by 5 dollars.

The third equation comes from the value of z (number of $1 bills) being 4 times more than the value of x (number of $10 bills).

Now, we will begin to find the value of x, y & z.

From the first equation,

10x + 5y + z = 101

Substitute the third equation (z = 4x) into z:

10x + 5y + 4x = 101

Simplify this and you get,

14x + 5y = 101

Now, we use the second equation. The second equation is y - x = 5. If we try to make y as the subject, it becomes y = 5 + x.

Now, substitute this into the value of y of the last working we did:

14x + 5(5+x) = 101

Simplify that and it becomes:

x = 4

Then, substitute this value of x into the second and third equations to find y and z.

y - x = 5

y - 4 = 5

y = 9

z = 4x

z = 4(4)

z = 16

Finally, let's check these answers by substituting them into the first equation to try and see if the total value is <em>really</em> $101.

10x + 5y + z = 10(4) + 5(9) + 16

10x + 5y + z = 40 + 45 + 16

10x + 5y + z = 101

Thus, our answers are correct. Elizabeth has FOUR $10 bills, NINE $5 bills and SIXTEEN $1 bills.

6 0
3 years ago
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Answer:

A.6:8

B.8:14

Step-by-step explanation:

6 0
2 years ago
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3 years ago
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Consider the expression 2√ 3 cos(x)csc(x)+4cos(x)-3csc(x)-2 √ 3 This expression can be represented as the product of the factors
skad [1K]
The answer:
let be A(x) =<span>2√ 3 cos(x)csc(x)+4cos(x)-3csc(x)-2 √ 3

this function can be represented as </span><span>the product of the factors

proof   
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2√ 3 cos(x)csc(x)+4cos(x)csc(x) / csc(x) -  3csc(x)- 2 √ 3 csc(x) / csc(x)
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so we have 
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[ 2√ 3 cos(x) +4cos(x) / csc(x) -  3 - 2 √ 3 / csc(x) ]  and csc(x) 

for more explanation

A(x) =[ 2√ 3 cos(x) - 3 + (4cos(x) - 2 √ 3 ) / csc(x)  ]  . csc(x)



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